Microcanonical temperature for a classical field: Application to Bose-Einstein condensation

Davis, M. J. and Morgan, S. A. (2003) Microcanonical temperature for a classical field: Application to Bose-Einstein condensation. Physical Review A, 68 5: 053614-1-053614-10. doi:10.1103/PhysRevA.68.053615

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Author Davis, M. J.
Morgan, S. A.
Title Microcanonical temperature for a classical field: Application to Bose-Einstein condensation
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2003
Sub-type Article (original research)
DOI 10.1103/PhysRevA.68.053615
Open Access Status File (Publisher version)
Volume 68
Issue 5
Start page 053614-1
End page 053614-10
Total pages 10
Editor B Crasemann
Place of publication United States
Publisher American Physical Society
Collection year 2003
Language eng
Subject C1
240201 Theoretical Physics
780102 Physical sciences
Abstract We show that the projected Gross-Pitaevskii equation (PGPE) can be mapped exactly onto Hamilton's equations of motion for classical position and momentum variables. Making use of this mapping, we adapt techniques developed in statistical mechanics to calculate the temperature and chemical potential of a classical Bose field in the microcanonical ensemble. We apply the method to simulations of the PGPE, which can be used to represent the highly occupied modes of Bose condensed gases at finite temperature. The method is rigorous, valid beyond the realms of perturbation theory, and agrees with an earlier method of temperature measurement for the same system. Using this method we show that the critical temperature for condensation in a homogeneous Bose gas on a lattice with a uv cutoff increases with the interaction strength. We discuss how to determine the temperature shift for the Bose gas in the continuum limit using this type of calculation, and obtain a result in agreement with more sophisticated Monte Carlo simulations. We also consider the behavior of the specific heat.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Configurational Temperature
Confined Fluids
Q-Index Code C1

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Created: Wed, 15 Aug 2007, 01:56:38 EST